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Rational numbers: These are the numbers which can be written in the form of $\dfrac{p}{q}$ where q is not equal to zero.

The given rational numbers are $\dfrac{3}{4},\dfrac{4}{5},\dfrac{5}{7}$ when we divide these numbers to get there decimal form we will get to know that which number is smallest and which one is the largest.

The number $\dfrac{3}{4}$ can be written as 0.75

The number $\dfrac{4}{5}$ can be written as 0.8

The number $\dfrac{5}{7}$ can be written as 0.7145

We can clearly see here that 0.8 > 0.75 > 0.7145

So, we can say that $\dfrac{4}{5}$ > $\dfrac{3}{4}$ > $\dfrac{5}{7}$.

So, the ascending order of the terms will be $\dfrac{5}{7}$, $\dfrac{3}{4}$, $\dfrac{4}{5}$.